GMAT Math : GMAT Quantitative Reasoning

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Example Questions

Example Question #11 : Linear Equations, One Unknown

What is the value of in the following equation when y=-343 ?

y=-7x+49

Possible Answers:

343

Correct answer:

Explanation:

When solving algebraic equations with one unknown, it is often easier to rearrange the equation first so that you have the unknown variable isolated.

So this:

y=-7x+49

becomes this when we subtract from both sides:

y-49=-7x

Then, divide both sides by to get all by itself:

$\frac{y-49}{-7}=x$

To finish, simply plug in for and simplify.

$x=\frac{-343-49}{-7}=\frac{-392}{-7}=56$

Thus, is our answer!

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Example Question #291 : Algebra

Solve for : 9x-11=70

Possible Answers:

x=6

x=8

x=11

x=9

x=5

Correct answer:

x=9

Explanation:

In order to solve for , isolate on one side of the equation:

9x-11=70

9x=81

x=9

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Example Question #292 : Algebra

Solve for : $\frac{3}{2}x+\frac{1}{3}=\frac{5}{9}$ .

Possible Answers:

$x=-\frac{27}{4}$

$x=-\frac{4}{27}$

$x=\frac{2}{3}$

$x=\frac{4}{27}$

$x=\frac{27}{4}$

Correct answer:

$x=\frac{4}{27}$

Explanation:

To solve for , we need to isolate on one side of the equation:

$\frac{3}{2}x+\frac{1}{3}=\frac{5}{9}$

$\frac{3}{2}x=\frac{5}{9}-\frac{1}{3}$

$\frac{3}{2}x=\frac{5}{9}-\frac{3}{9}$

$\frac{3}{2}x=\frac{2}{9}$

$x=\frac{2}{9}\times\frac{2}{3}$

$x=\frac{4}{27}$

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Example Question #21 : Solving Linear Equations With One Unknown

Solve the following equation:

8x+3-15x=-4-11x+43

Possible Answers:

x=5

x=9

x=2

x=-9

x=-2

Correct answer:

x=9

Explanation:

We start by grouping all of our like terms, so the terms with x are grouped on the left side and the constants are grouped on the right side:

8x+3-15x=-4-11x+43

-7x+3=39-11x

4x=36

x=9

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Example Question #302 : Algebra

Solve for : 9x-7=29

Possible Answers:

Correct answer:

Explanation:

In order to solve for in 9x-7=29 , isolate on one side of the equation:

9x-7=29

9x=36

x=4

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Example Question #303 : Algebra

Solve for : 3z-9=5z-11

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

In order to solve for , we need to isolate on one side of the equation:

3z-9=5z-11

-9=2z-11

2=2z

1=z

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Example Question #1381 : Problem Solving Questions

Solve for : $\frac{1}{2}y-9=\frac{3}{4}y+6$

Possible Answers:

Correct answer:

Explanation:

In order to solve for , isolate on one side of the equation and simplify:

$\frac{1}{2}y-9=\frac{3}{4}y+6$

$-9=\frac{1}{4}y+6$

$-15=\frac{1}{4}y$

-60=y

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Example Question #21 : Linear Equations, One Unknown

Given $\small f(x)=4x+b$ and $\small f(4)=26$ , find the height of the line's -intercept.

Possible Answers:

Correct answer:

Explanation:

The trick here is recognizing what you are given. In y=mx+b form, is equal to the -intercept. All we need to do is find . Find this by recognizing that f(4)=26 means that the point (4,26) is on this line. More simply, if we plug in 4 for and 26 for (or in other words, f(x) ), we can find .

So this:

$\small f(x)=4x+b$

becomes:

26=4*4+b

26=16+b

$\small b=26-16=10$

So, b=10 .

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Example Question #306 : Algebra

Solve for : 7y-21=28

Possible Answers:

Correct answer:

Explanation:

In order to solve for , isolate on one side of the equation and simplify.

First, add 21 to both sides in order to get all constants on one side.

7y-21=28

Then divide by 7 to solve for y.

7y=49

y=7

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Example Question #1382 : Problem Solving Questions

Solve for :

$\frac{2}{3}z+9=12$

Possible Answers:

$-\frac{2}{9}$

$\frac{2}{9}$

$\frac{9}{2}$

$-\frac{9}{2}$

Correct answer:

$\frac{9}{2}$

Explanation:

In order to solve the equation, isolate on one side of the equation.

To do this, first subtract 9 from both sides.

$\frac{2}{3}z+9=12$

$\frac{2}{3}z=3$

Then multiply both sides by 3 to move the three to the left hand side.

2z=9

Lastly, divide by 2 on both sides to solve for z.

$z=\frac{9}{2}$

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GMAT Math : GMAT Quantitative Reasoning

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #11 : Linear Equations, One Unknown

Example Question #291 : Algebra

Example Question #292 : Algebra

Example Question #21 : Solving Linear Equations With One Unknown

Example Question #302 : Algebra

Example Question #303 : Algebra

Example Question #1381 : Problem Solving Questions

Example Question #21 : Linear Equations, One Unknown

Example Question #306 : Algebra

Example Question #1382 : Problem Solving Questions

All GMAT Math Resources

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DMCA Complaint

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